Search a number
-
+
31834112 = 2142967
BaseRepresentation
bin111100101110…
…0000000000000
32012220100012012
41321130000000
531122142422
63054152052
7534404552
oct171340000
965810165
1031834112
1116a73492
12a7b2628
136797a6b
1443294d2
152bdc4e2
hex1e5c000

31834112 has 60 divisors (see below), whose sum is σ = 66844680. Its totient is φ = 15138816.

The previous prime is 31834111. The next prime is 31834129. The reversal of 31834112 is 21143813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31834111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 475103 + ... + 475169.

It is an arithmetic number, because the mean of its divisors is an integer number (1114078).

Almost surely, 231834112 is an apocalyptic number.

31834112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31834112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33422340).

31834112 is an abundant number, since it is smaller than the sum of its proper divisors (35010568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31834112 is an frugal number, since it uses more digits than its factorization.

31834112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 31834112 is about 5642.1726311768. The cubic root of 31834112 is about 316.9306538596.

Adding to 31834112 its reverse (21143813), we get a palindrome (52977925).

The spelling of 31834112 in words is "thirty-one million, eight hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 67 116 128 134 232 256 268 464 512 536 928 1024 1072 1856 1943 2048 2144 3712 3886 4096 4288 7424 7772 8192 8576 14848 15544 16384 17152 29696 31088 34304 59392 62176 68608 118784 124352 137216 237568 248704 274432 475136 497408 548864 994816 1097728 1989632 3979264 7958528 15917056 31834112